8,432,829

3⁵ × 34703

Prime Factor Structure

Factorization String 3^5 × 34703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,632,256

Proper Divisor Sum 4,199,427

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8432819 ← → #8432843

Radix Representation

Decimal	8432829
Binary	100000001010110010111101 (24 bits)
Octal	0o40126275
Hexadecimal	0x80ACBD

Divisor Catalog (12)

1 3 9 27 81 243 34,703 104,109 312,327 936,981 2,810,943 8,432,829

Collatz Trajectory (212 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,432,829 25,298,488 12,649,244 6,324,622 3,162,311 9,486,934 4,743,467 14,230,402 7,115,201 21,345,604 10,672,802 5,336,401 16,009,204 8,004,602 4,002,301 12,006,904 6,003,452 3,001,726 1,500,863 4,502,590 2,251,295 6,753,886 3,376,943 10,130,830 5,065,415 15,196,246 7,598,123 22,794,370 11,397,185 34,191,556 17,095,778 8,547,889 25,643,668 12,821,834 6,410,917 19,232,752 9,616,376 4,808,188 2,404,094 1,202,047 3,606,142 1,803,071 5,409,214 2,704,607 8,113,822 4,056,911 12,170,734 6,085,367 18,256,102 9,128,051 27,384,154 13,692,077 41,076,232 20,538,116 10,269,058 5,134,529 15,403,588 7,701,794 3,850,897 11,552,692

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